We focus on the tools necessary for thinking like a mathematician. Students will learn to read proofs critically and to write
proofs rigorously. In addition, not only methods of proof, in this course, we review linear algebra and calculus.

Successful students will be able to read proofs critically.

Successful students will be able to write proofs rigorously.

Successful students will gain deeper understanding of linear algebra and calculus.

Successful students will be able to write proofs rigorously.

Successful students will gain deeper understanding of linear algebra and calculus.

- Students will be able to read proofs critically.
- Students will be able to write proofs rigorously.
- Students will gain deeper understanding of linear algebra and calculus.

Class schedule | HW assignments (Including preparation and review of the class.) | Amount of Time Required | |
---|---|---|---|

1. | Proofs | Handout No.1 | 200minutes |

2. | Direct proof | Handout No.2 | 200minutes |

3. | Proof by induction | Handout No.3 | 200minutes |

4. | Proof by contradiction | Handout No.4 | 200minutes |

5. | Review of linear algebra: vector spaces | Handout No.5 | 200minutes |

6. | Review of linear algebra: matrices | Handout No.6 | 200minutes |

7. | Review of linear algebra: diagonalization | Handout No.7 | 200minutes |

8. | Review of linear algebra: quadratic forms | Handout No.8 | 200minutes |

9. | Midterm examination and its review |
Review | 200minutes |

10. | Review of calculus: derivatives | Handout No.9 | 200minutes |

11. | Review of calculus: integrals | Handout No.10 | 200minutes |

12. | Review of calculus: partial derivatives | Handout No.11 | 200minutes |

13. | Review of calculus: double integrals | Handout No.12 | 200minutes |

14. | Final examination and its review | Review | 200minutes |

Total. | - | - | 2800minutes |

Midterm | Final | Total. | |
---|---|---|---|

1. | 10% | 20% | 30% |

2. | 10% | 20% | 30% |

3. | 40% | 40% | |

Total. | 20% | 80% | - |

Agata Stefanowicz, Proofs and Mathematical Reasoning. University of Birmingham, Mathematics support centre,

- Course that cultivates an ability for utilizing knowledge

Work experience | Work experience and relevance to the course content if applicatable |
---|---|

N/A | 該当しない |

Last modified : Thu Mar 21 14:15:24 JST 2019